Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107996j |
Isogeny class |
Conductor |
107996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-315306849536 = -1 · 28 · 76 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3 1 7- -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,833,25382] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:1862:27] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
13.955415251583 |
L(r)(E,1)/r! |
Ω |
0.69491069044109 |
Real period |
R |
1.6735262314722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204c1 |
Quadratic twists by: -7 |